Title of article :
Effects of Material and Geometrical Parameters on the Free Vibration of Sandwich Beams
Author/Authors :
Bensahal, D. Laboratory of Mechanic - University of Laghouat, Algeria , Nadir Amraneb, M. Mechanics Department - University of Biskra, Algeria
Pages :
7
From page :
222
To page :
228
Abstract :
The aim of present study is to investigate the effect of various parameters such as length, thickness, density, shear modulus of the core and Young modulus of skins for various boundary conditions: clamped-free and simply supported. By applying the model of Khalili et al for frees vibration analysis of sandwich beams by using finite element methods. Where, the core density is taken on consideration. The flexural vibrations of beams are analyzed by the finite element method, using the stiffness and mass matrix of beam element with three degrees of freedom per node. The three first natural frequencies are calculated by using Matlab commercial software. A comparison is established between three different lengths for each configuration. There is a good agreement between the results obtained by the present study with the results obtained by Khalili et al.
Farsi abstract :
ﻫﺪف از ﻣﻄﺎﻟﻌﻪ ﺣﺎﺿﺮ، ﺑﺮرﺳﯽ اﺛﺮ ﭘﺎراﻣﺘﺮﻫﺎي ﻣﺨﺘﻠﻒ از ﻗﺒﯿﻞ ﻃﻮل، ﺿﺨﺎﻣﺖ، ﭼﮕﺎﻟﯽ، ﻣﺪول ﺑﺮﺷﯽ از ﻫﺴﺘﻪ و ﻣﺪول ﯾﺎﻧﮓ از ﭘﻮﺳﺖ ﺑﺮاي ﺷﺮاﯾﻂ ﻣﺨﺘﻠﻒ ﻣﺮزي، ﮐﻠﻤﭗ-راﯾﮕﺎن و ﺳﺎده، ﺑﺎ اﺳﺘﻔﺎده از ﻣﺪل ﺧﻠﯿﻠﯽ و ﻫﻤﮑﺎران ﺑﺮاي ﺗﺠﺰﯾﻪ و ﺗﺤﻠﯿﻞ ارﺗﻌﺎﺷﺎت آزاد ﭘﺮﺗﻮﻫﺎي ﺳﺎﻧﺪوﯾﭻ از روش اﻟﻤﺎن ﻣﺤﺪود اﺳﺖ. ﭼﮕﺎﻟﯽ ﻫﺴﺘﻪ ﻣﻮرد ﺑﺮرﺳﯽ ﻗﺮار ﻣﯽ ﮔﯿﺮد. ارﺗﻌﺎﺷﺎت ﺧﻤﺸﯽ ﺗﯿﺮﻫﺎ ﺗﻮﺳﻂ روش اﻟﻤﺎن ﻣﺤﺪود ﺑﺎ اﺳﺘﻔﺎده از ﻣﺎﺗﺮﯾﺲ ﺳﺨﺘﯽ و ﺟﺮم ﻋﻨﺼﺮ ﭘﺮﺗﻮ ﺑﺎ ﺳﻪ درﺟﻪ آزادي در ﻫﺮ ﮔﺮه ﻣﻮرد ﺗﺠﺰﯾﻪ و ﺗﺤﻠﯿﻞ ﻗﺮار ﻣﯽ ﮔﯿﺮد. ﺳﻪ ﻓﺮﮐﺎﻧﺲ ﻃﺒﯿﻌﯽ ﺑﺮاي اوﻟﯿﻦ ﺑﺎر ﺑﺎ اﺳﺘﻔﺎده از ﻧﺮم اﻓﺰار ﺗﺠﺎري Matlab ﻣﺤﺎﺳﺒﻪ ﻣﯽ ﺷﻮد. ﺑﺮاي ﻫﺮ ﭘﯿﮑﺮﺑﻨﺪي، ﻣﻘﺎﯾﺴﻪ اي ﺑﯿﻦ ﺳﻪ ﻃﻮل ﻣﺨﺘﻠﻒ اﻧﺠﺎم ﻣﯽ ﺷﻮد. ﺗﻮاﻓﻖ ﺧﻮﺑﯽ ﺑﯿﻦ ﻧﺘﺎﯾﺞ ﺑﻪ دﺳﺖ آﻣﺪه از ﻣﻄﺎﻟﻌﻪ ﺣﺎﺿﺮ ﺑﺎ ﻧﺘﺎﯾﺞ ﺑﻪ دﺳﺖ آﻣﺪه ﺗﻮﺳﻂ ﺧﻠﯿﻠﯽ و ﻫﻤﮑﺎران وﺟﻮد دارد.
Keywords :
Length , Finite Element Method , Free Vibration , Frequency , Sandwich
Journal title :
International Journal of Engineering
Serial Year :
2016
Record number :
2507460
Link To Document :
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